Question

Product of 70 times 6000, use the associative and commutative properties to show how mark can calculate this product mentally

Answer 1

Whatever happened to just normal 70 times 6,000? The product is 420,000. If that was your question.

Answer 2

`70* 6000=420000`

Explanation:

Given : Expression 'Product of 70 times 6000'.

To find : Calculate the product using associative and commutative properties?

Solution :

Associative property of multiplication,

`a\cdot (b\cdot c)=(a\cdot b)\cdot c`

Commutative property of multiplication,

`a\cdot b=b\cdot a`

Now, We solve the expression using properties

`70* 6000=(7* 10)* (6* 1000)`

`70* 6000=7* 10* 6* 1000`

Applying Commutative property,

`70* 6000=7* 6* 10* 1000`

Applying Associative property,

`70* 6000=42* (10* 1000)`

`70* 6000=42* 10000`

`70* 6000=420000`